1.

Record Nr.

UNINA9910811038003321

Autore

Nahin Paul J

Titolo

Dr. Euler's fabulous formula : cures many mathematical ills / / Paul J. Nahin ; with a new preface by the author

Pubbl/distr/stampa

Princeton, N.J., : Princeton University Press, c2006

ISBN

0-691-17591-8

1-4008-3847-9

9786613058010

1-283-05801-4

Edizione

[With a New preface by the author]

Descrizione fisica

xxxii, 380 p. : ill

Collana

Princeton Science Library ; ; 52

Disciplina

512.7/88

Soggetti

Numbers, Complex

Euler's numbers

Mathematics - History

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

First paperback printing, 2011.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- Contents -- Preface to the Paperback Edition -- Preface -- Introduction -- Chapter 1. Complex Numbers -- Chapter 2. Vector Trips -- Chapter 3. The Irrationality of π2 -- Chapter 4. Fourier Series -- Chapter 5. Fourier Integrals -- Chapter 6. Electronics and √ −1 -- Euler: The Man and the Mathematical Physicist -- Notes -- Acknowledgments -- Index

Sommario/riassunto

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula-long regarded as the gold standard for mathematical beauty-and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.